|
200.00
|
Synergetics |
|
200.001 |
Definition: Synergetics |
|
201.00 |
Experientially Founded Mathematics |
|
201.10 |
Accommodation of Proclivities, Phases, and Disciplines |
|
201.20 |
Synergetic Hierarchy: Grand Strategy |
|
202.00 |
Angular Topology |
|
202.03 |
Angular Topology |
|
203.00 |
Scope |
|
fig 203.09 |
Examples of Geodesic Design in Nature |
|
204.00 |
Paradox of the Computer |
|
205.00 |
Vector Equilibrium (VE) |
|
215.00 |
A Geometry of Vectors |
|
216.00 |
Significance of Isotropic Vector Matrix
(IVM) |
|
217.00 |
Prospects for Synergetics |
|
220.00 |
Synergetics Principles |
|
220.01 |
Principles |
|
220.10 |
Reality
& Eternality |
|
221.00 |
Principle of Unity |
|
222.00 |
Omnidirectional Closest Packing of Spheres |
|
222.01 |
Definition
(Fig 222.01 Equation for Omnidirectional Closest Packing of Spheres) |
|
222.10 |
Equation
for Cumulative Number of Spheres |
|
222.20 |
Characteristics
of Closest Packing of Spheres |
|
222.30 |
Volume
of Vector Equilibrium (Fig 222.30 Volume of VE = 20) |
|
222.40 |
Mathematical
Evolution of Formula for Omnidirectional Closest Packing of Spheres |
|
222.50 |
Classes
of Closest Packing |
|
223.00 |
Principle of Prime # Inherency & Constant
Relative Abundance of the Topology of Symmetrical Structural Systems |
|
223.01 |
Definition |
|
223.02 |
Axis
of Spin |
|
223.03 |
Equation
of Prime Number Inherency of All Symmetrical Structural Omnitriangulated
Systems |
|
223.04 |
Equation
of Constant Relative Abundance of Topological Aspects of All Symmetrical
Structural Systems |
|
223.05 |
Two
Kinds of Twoness |
|
223.10 |
Constant
Relative Abundance |
|
223.20 |
Primary
Systems |
|
223.21 |
Primary
Systems: Equations |
|
223.30 |
Symmetrical
Analysis of Topological Hierarchies (1) |
|
223.34 |
Symmetrical Analysis of Topological Hierarchies (2) |
|
223.40 |
Powering |
|
223.50 |
Prime
Number Inherency |
|
223.60 |
Analysis
of Topological Hierarchies: Omnitriangulation |
|
223.64 |
Table: Synergetics Hierarchy of Topological Characteristics of
Omnitriangulated Polyhedral Systems |
|
223.67 |
Synergetics Hierarchy |
|
223.70 |
Planck's
Constant |
|
223.80 |
Energy
Has Shape |
|
224.00 |
Principle of Angular Topology |
|
224.01 |
Definition |
|
224.05 |
Line |
|
224.06 |
Triangle |
|
224.07 |
Sphere |
|
224.08 |
Tetrahedron |
|
224.10 |
Descartes |
|
224.11 |
The
Calculus |
|
224.12 |
Cyclic
Unity |
|
224.20 |
Equation
of Angular Topology (Table 224.20 Angular Topology Independent of Size) |
|
224.30 |
Polarity |
|
224.40 |
Multivalent
Applications |
|
224.50 |
Corollary:
Principle of Finite Universe Conservation |
|
224.60 |
Tetrahedral
Mensuration |
|
table 224.70a |
Tetrahedral Mensuration Applied to Well-Known Polyhedra |
|
table 224.70b |
Tetrahedral Mensuration Applied to Spheres |
|
225.00 |
Principle of Design Covariables |
|
225.01 |
Definition |
|
226.00 |
Principle of Functions |
|
226.01 |
Definition |
|
226.10 |
Corollary:
Principle of Complementarity |
|
227.00 |
Principle of Order Underlying Randomness |
|
227.01 |
Definition
(Table 227.01 Underlying Order in Randomness) |
|
228.00 |
Scenario Principle |
|
228.01 |
Definition |
|
228.10 |
Considerable
Set |
|
228.12 |
Scenario Principle: Considerable Set |
|
229.00 |
Principle of Synergetic Advantage |
|
229.01 |
Definition |
|
229.10 |
Corollary:
Principle of Irreversibility |
|
230.00 |
Tetrahedral Number |
|
230.01 |
Definition |
|
231.00 |
Principle of Universal Integrity |
|
231.01 |
Definition |
|
232.00 |
Principle of Conservation of Symmetry |
|
232.01 |
Definition |
|
240.00 |
Synergetics Corollaries (66) |
|
250.00 |
Discoveries of Synergetics |
|
250.01 |
Discovery |
|
250.10 |
Academic
Grading Variables in Respect to Science vs Humanities |
|
250.20 |
My
Independent Mathematical Explorations |
|
250.30 |
Remoteness
of Synergetics Vocabulary |
|
250.40 |
The
Climate of Invention |
|
250.50 |
Coincidental
Nature of Discoveries |
|
250.60 |
Proofs |
|
251.00 |
Discoveries of Synergetics: Inventory (40) |
|
260.00 |
The
Epistemography of Generalization and Special Case |
|
260.10 |
Invisibility of Macro- and Micro- Resolutions |
|
260.20 |
Convergent vs. Parallel Perception |
| fig
260.211 |
Human's Range-Finding Optical System |
|
260.30 |
Physical Experience and Closest Packing of Spheres |
|
260.40 |
Convergence to a Nucleus |
|
260.50 |
Precession of Two Sets of 10 Closest-Packed Spheres |
|
261.00 |
Getting Nature into a Corner |
|
262.00 |
Conceptual Minimum |
|
263.00 |
Nothingness and Tunability |
|
264.00 |
Geometry of Self and Otherness |
|
265.00 |
Unity of Triangulation |
|
266.00 |
Science and Mathematics in the Language of Electromagnetics |
|
267.00 |
Observer as Tetrasystem |
|
fig 267.02 |
Observer as Tetrasystem |
|
268.00 |
Omnioriented Tunability |
|
269.00 |
Topology of Ins, Outs, and Interrelationships |
|
270.00 |
Synergetics' Operational Accountability |
|
270.10 |
Topological Accountability of all Vanishing and Elsewhere Reappearing Quanta |